The generator matrix

 1  0  0  1  1  1  6  1  1  0  1  1  2  4  1  1  1  1  6  2  0  1  6  1  6  4  1  1  2
 0  1  0  1  6  3  1  0  1  1  4  3  1  2  2  2  3  1  0  1  1  7  0  2  1  1  0  6  1
 0  0  1  1  3  6  3  6  3  6  1  0  1  1  2  1  3  2  1  2  3  1  1  1  0  1  0  3  1
 0  0  0  4  0  0  0  0  0  0  0  0  4  0  0  4  4  0  4  0  0  0  4  4  0  4  4  4  0
 0  0  0  0  4  0  0  0  0  0  4  0  0  4  0  4  4  4  0  4  0  4  0  4  0  4  4  4  0
 0  0  0  0  0  4  0  0  0  0  0  4  0  0  4  4  4  4  0  0  0  4  0  0  4  4  0  4  0
 0  0  0  0  0  0  4  0  0  0  0  0  4  4  4  4  0  4  4  4  4  0  0  0  4  4  4  4  4
 0  0  0  0  0  0  0  4  0  0  4  4  4  0  0  0  4  4  0  4  0  0  4  4  4  0  0  4  4
 0  0  0  0  0  0  0  0  4  0  0  0  4  4  4  0  4  0  0  4  4  4  4  0  0  4  0  4  4
 0  0  0  0  0  0  0  0  0  4  0  4  0  4  4  4  0  0  4  4  0  4  4  0  4  0  0  0  0

generates a code of length 29 over Z8 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+155x^20+24x^21+472x^22+448x^23+2216x^24+2336x^25+6240x^26+5696x^27+11502x^28+7568x^29+11120x^30+5696x^31+6497x^32+2336x^33+2080x^34+448x^35+583x^36+24x^37+56x^38+37x^40+1x^56

The gray image is a code over GF(2) with n=116, k=16 and d=40.
This code was found by Heurico 1.16 in 35 seconds.